CORRECTION OF LOGISTIC REGRESSION RELATIVE RISK ESTIMATES AND CONFIDENCE INTERVALS FOR MEASUREMENT ERROR: THE CASE OF MULTIPLE COVARIATES MEASURED WITH ERROR

作者: B. ROSNER , D. SPIEGELMAN , W. C. WILLETT

DOI: 10.1093/OXFORDJOURNALS.AJE.A115715

关键词:

摘要: If several risk factors for disease are considered in the same multiple logistic regression model, and some of these measured with error, point interval estimates relative corresponding to any may be biased either toward or away from null value. A method is provided correcting obtained measurement error one more continuous variables. The requires a separate validation study estimate coefficients multivariate linear model relating surrogate variables vector true factors. Similar methods have been suggested by other authors, but none provides means confidence intervals which include component variability due estimation parameters study. An example prospective dietary fat, calories, alcohol relation breast cancer, questionnaire used assess nutrients. Before age-adjusted 25 g increment intake was 1.33 (95% (CI) 1.14-1.55); after increased 1.62 CI 1.23-2.12). Similarly, 10 saturated fat intake, 0.94 0.83-1.06); 0.84 0.59-1.20). These results indicate that failure find substantial positive association between cancer cannot explained alcohol.

参考文章(15)
P Knekt, D Albanes, R Seppänen, A Aromaa, R Järvinen, L Hyvönen, L Teppo, E Pukkala, Dietary fat and risk of breast cancer. The American Journal of Clinical Nutrition. ,vol. 52, pp. 903- 908 ,(1990) , 10.1093/AJCN/52.5.903
Mark A. Espeland, A general class of models for discrete multivariate data Communications in Statistics - Simulation and Computation. ,vol. 15, pp. 405- 424 ,(1986) , 10.1080/03610918608812515
Leonard A. Stefanski, Raymond J. Carroll, Covariate Measurement Error in Logistic Regression Annals of Statistics. ,vol. 13, pp. 1335- 1351 ,(1985) , 10.1214/AOS/1176349741
DANIEL W. SCHAFER, Covariate measurement error in generalized linear models Biometrika. ,vol. 74, pp. 385- 391 ,(1987) , 10.1093/BIOMET/74.2.385
RAYMOND J. CARROLL, CLIFFORD H. SPIEGELMAN, K. K. GORDON LAN, KENT T. BAILEY, ROBERT D. ABBOTT, On errors-in-variables for binary regression models Biometrika. ,vol. 71, pp. 19- 25 ,(1984) , 10.1093/BIOMET/71.1.19
Ben Armstrong, Measurement error in the generalised linear model Communications in Statistics - Simulation and Computation. ,vol. 14, pp. 529- 544 ,(1985) , 10.1080/03610918508812457
Mark A. Espeland, Charles L. Odoroff, Log-Linear Models for Doubly Sampled Categorical Data Fitted by the EM Algorithm Journal of the American Statistical Association. ,vol. 80, pp. 663- 670 ,(1985) , 10.1080/01621459.1985.10478166
Deborah Burr, On Errors-in-Variables in Binary Regression—Berkson Case Journal of the American Statistical Association. ,vol. 83, pp. 739- 743 ,(1988) , 10.1080/01621459.1988.10478656
WALTER C. WILLETT, LAURA SAMPSON, MEIR J. STAMPFER, BERNARD ROSNER, CHRISTOPHER BAIN, JELIA WITSCHI, CHARLES H. HENNEKENS, FRANK E. SPEIZER, REPRODUCIBILITY AND VALIDITY OF A SEMIQUANTITATIVE FOOD FREQUENCY QUESTIONNAIRE American Journal of Epidemiology. ,vol. 122, pp. 51- 65 ,(1985) , 10.1093/OXFORDJOURNALS.AJE.A114086